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We show that in prime dimensions not equal to three, each group covariant symmetric informationally complete positive operator valued measure (SIC~POVM) is covariant with respect to a unique Heisenberg--Weyl (HW) group.
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Zhu H, Teo Y S and Englert B-G, Quantum State Tomography with Joint SIC POMs and Product SIC POMs (in preparation)
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Appleby D M, Dang H and Fuchs C 2007 arXiv:0707.2071 [quant-ph]
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